Multiple Access Outerbounds and the Inseparability of Parallel Interference Channels

Details Multiple Access Outerbounds and the Inseparability of Parallel Interference Channels Multiple Access Outerbounds and the Inseparability of Parallel Interference Channels

2008-02-15

arxiv.org/abs/0802.2125v1

IEEE Transactions on Information Theory, Vol. 55, No. 9, Sep. 2009,Pages: 3983-3990

Computer Science

Information Theory

Scientific paper

It is known that the capacity of parallel (multi-carrier) Gaussian point-to-point, multiple access and broadcast channels can be achieved by separate encoding for each subchannel (carrier) subject to a power allocation across carriers. In this paper we show that such a separation does not apply to parallel Gaussian interference channels in general. A counter-example is provided in the form of a 3 user interference channel where separate encoding can only achieve a sum capacity of $\log({SNR})+o(\log({SNR}))$ per carrier while the actual capacity, achieved only by joint-encoding across carriers, is $3/2\log({SNR}))+o(\log({SNR}))$ per carrier. As a byproduct of our analysis, we propose a class of multiple-access-outerbounds on the capacity of the 3 user interference channel.

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